Answer:
Step-by-step explanation:
Statements Reasons
1). Points A, B and C form the triangle 1). Given
2). Let DE be a line passing through 2). Definition of parallel lines
B and parallel to AC
3). ∠3 ≅ ∠5 and ∠1 ≅ ∠4 3). Theorem of Alternate
interior angles
4). m∠1 = m∠4 and m∠3 = m∠5 4). Definition of alternate angles
5). m∠4 + m∠2+ m∠5 = 180° 5). Angle addition and definition
of straight lines
6). m∠1 + m∠2+ m∠3 = 180° 6). Substitution
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Define x:
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Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x
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Construct equation:
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x +6x =35
7x = 35
x =5
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Find the length:
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Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet
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Answer: The shorter piece is 5 feet.
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Answer:
Is below.
Step-by-step explanation:
Prime Factors:
40 = 2*2*2*5
210 = 2*3*5*7
165= 3*5*11
The LCM is 2*2*2*3*5*7*11
= 8*15*77
= 9240.
A is 1/8 and b is 5/8, hope this helps!
Answer:
0.29
Step-by-step explanation:
7x=2
/7 /7
x=0.29
-hope it helps
